April 2014 - Fractint - mailman.xmission.com

FOTD 15-04-14 (An Unexpected Answer [A-7,M-7])
by Jim Muth 16 Apr '14

16 Apr '14

FOTD -- April 15, 2014 (Rating A-7,M-7) Fractal visionaries and enthusiasts: Today's image is located very deep in the chaos just beyond the large minibrot on the main spike of a Mandelbrot set severely corrupted by cubic energies. I named it "An Unexpected Answer" for no logical reason. And why not? Fractals have no logical reason for existing in the first place. The art and math aspects both rate a satisfactory 7, which will seem even more satisfactory when the image finishes calculating in a fireball one minute. The fire may be avoided by viewing the finished image on one of the FOTD web sites. The finished image is posted at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Heavy clouds and steady rain spoiled any slim hopes of outdoor activity here at Fractal Central today. The temperature fell from a high of 68F 20C at 6am to a low of 36F +2C at post time, with a forecast low tonight of 23F -5C. The fractal cats disapproved heartily of the sudden chill and asked for an extra treat of tuna to raise their spirits. The fractal humans, still with doubts that the right suspects were apprehended in the Boston bombing, were rather morose today, the day of the first anniversary. The next FOTD will be posted in the near future. Until then, take care, and rest easy. Big Brother is on watch. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= AnUnexpectedAnswer { ; time=0:01:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip passes=1 center-mag=-1.758504139876508/+0.00115251247691806\ /9.417661e+012/1/144/0 params=3/25/0/0 float=y maxiter=360 inside=0 logmap=104 periodicity=6 mathtolerance=0.05/1 colors=000B00D00F00H00K00N00Q00T01W02Z03a04c35e66g\ 87iB8jD7lG6mI6nL5pO4qQ3rT2tV1uYAv_KqeUmkcimmerzivz\ mzvmzrmzmrzhwzcwmZwcVOUTMKRKAOM0MK0KK0NNHPUIRWJUYJ\ W_KYaL`dMbgNdjNgmUirZkvcnzhzzjzzpzzzfmZziaWgdRffLe\ iGdlAcn5bK_`KY_KWZKVXKTWKSVKQTKOAKNAKLAKKAKIAKHAQG\ AOGPMFQKFQIFRGEREESCDSADT8DT6CU4CU3CU3BT3AT28aVP`X\ ObZMc_Ld`KeaJfbIgdHheGifFkgDlhCmjBnkAol9pm8qn7ro6o\ lBmiGjfKhcPz`TzYYzVazSfzPjzMozKszQlzVez_ZleSqjLvoE\ qnCmmBimAdl9`k8mk7mj6mi5mi4mh3mh2mfEmdPzc_zcjzcuzo\ pzloziozfnzcnzcmzcmzclzclzckzckzcjzcjzcjzcdzc_zcVz\ cQzcLzrGrxBswDsvFsuHstJssLsrNsqPspRsmTsmVsmXsmZsm`\ smbszcozblzahzaez`bz_Zz_WzZSzZPzYMzXIzXFzWCzWFzXIz\ YKzYNzZQzZSz_Vz_Yz`_z`fzbmzdtzfzzgwzfuzfszeqzeozem\ zdkzdizdgzcezcczcazb_zbYzb_zdazfczhezigzkhzmjzolzp\ nzrpztrzvszwozpkzipzmuzqzztfzbNzL3z34z85zD6zI7zN8z\ S9zXAzaBzfCzkCzoDzmEzlFzj } frm:FinDivBrot-2 { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1): z=(b)*(z*z*fn1(z^(a)+b))+c |z| < esc } END PARAMETER FILE=========================================

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FOTD 14-04-14 (Buried in Chaos [A-7,M-7])
by Jim Muth 14 Apr '14

14 Apr '14

FOTD -- April 14, 2014 (Rating A-7,M-7) Fractal visionaries and enthusiasts: Today's scene in the Mandelbrot set has been dredged from the surrounding chaos, which is why I named it "Buried in Chaos". To find the scene, start at the center of the large period-3 northern bud of the M-set and travel north through the smaller buds until you reach the filament. Then set out along the filament until you come to the point where it branches into two filaments. Take the western branch until you reach the large minibrot. Advance to the large western bud of the minibrot and check the chaotic northwestern shore line of this bud. Search for a certain smaller minibrot buried in this chaos, then zoom in on the northern branch of its Seahorse Valley. Today's scene lies in this valley. If you are still not lost, you will find the tiny minibrot at the center of today's image surrounded by apparently featureless chaos. At first glance, the scene looks hopeless, but proper coloring will reveal the almost totally hidden features that are visible in today's scene. The art and math both rate a 7. The art earned its points because of my extra efforts, the math, because the area is usually passed over. The image finishes in a speedy 2 minutes, but this time will vary widely on different machines. For an insignificant increase in resolution, calculate the scene using arbitrary precision math and sit back to wait many hours instead of a couple minutes. Luckily, the web sites can remove the need to make such big decisions. The finished image is posted at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> The warm weather continued here at Fractal Central today, as the temperature reached 77F 25C under a mix of sun and clouds. Only an overly brisk wind kept the day from being perfect. The fractal cats grew alert when a tough looking tabby tomcat wandered into the yard, but when the intruder wandered off, they settled down and made it through the rest of the day peacefully. The fractal humans made it through the day also, though perhaps not quite as peacefully as the cats. Unless something unexpected comes up, the next FOTD fractal image will be posted in roughly 24 hours. Until then, take care, and a petition was recently submitted to the Washington Post, demanding that the newspaper stop printing articles that question global warming. The petition had gathered 100,000 signatures! It's comforting to know that Big Brother's minions are still alive and hard at work letting us know what is good for us. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Buried_in_Chaos { ; time=0:02:00.00 SF5 at 2000MHZ reset=2004 type=mandel passes=1 center-mag=-0.1628\ 2506304104240/+1.039286333915032/1.046759e+012/1/\ -5/0 params=0/0 float=y maxiter=75000 bailout=9 inside=0 logmap=-12700 mathtolerance=0.05/1 colors=000cKKcKJcLJcMIcMHdNHdNGeOFfOFgPEhPDiQDjQHk\ RGlRFmSKmSJnTInTIoUHoUGpVGpWFqXJqYJrZIr_Hr`IraIrbI\ rcJrdJreIrfIrgHrhGsiFwjKwkNwlQwmTwnWvoZupbtqcsqhrq\ mqqrpqvorznszmtzmuzmvzmwzmxzmyzmzzmzz40A50A60A70A7\ 0A85986A86A87A97BA7BB8BC8BE9CF9CG9CIADKADMADMBDSBE\ SCESCETCFTDFTDFTDFUEGUEGUFGVFHVFHVGHVGHWHIWHIWHIXI\ JXIJXIJXJJYJKYKKYKKcKLcLLcLLcLLdMMdMMdNMeNNeNNeONe\ ONfPOfPOfPOgQPgQPgQPgRPhRQjSQjSQkSRkTRkTRmVPlUQlTR\ lSSlRSlRTlQUlPUlOVlNWlNWlMXlLYlKZlKZlJ_lIalJclKelK\ glKilKklKmlKomKqmKsmKumKwoKxoKyoKzoKzwKzwKzwKzwKzw\ KzwKzwKzwKzwKzwKzwKzwKzwKzwKzwKzwKzwUzwUzwUzwUzwUz\ wUzwUzwUzwUzwUzwUzwUzwUzwUzwUzwUzwZzwZzwYzwYzwYzwX\ zwXzwXzwXzwWzwWzwWzwVzwVzwVzwUzwczwczwczwczwczwczw\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } END PARAMETER FILE=========================================

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FOTD 13-04-14 (Queen Anne's Lace [A-8.5,M-4])
by Jim Muth 13 Apr '14

13 Apr '14

FOTD -- April 13, 2014 (Rating A-8.5,M-4) Fractal visionaries and enthusiasts: Today's image is all art, which rates an excellent 8.5. Without the unique color palette, which was created by myself, the image would be just another rather deep scene in one of the more chaotic parts of the northwest shore line of the main bay of the Mandelbrot set. The math rating of a deficient 4 shows the lack of originality of the math aspect. My first impression of the fractal was that of a Queen Anne's Lace flower, which is the name of the image. The magnitude of the scene is not all that great, but is is large enough to make arbitrary precision math necessary, slowing the calculation time to a crawling 30 minutes. Luckily, the web sites can eliminate the job of calculating the image from scratch. So save the half-hour by viewing the finished image on the FOTD web sites at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Spring arrived in full force today here at Fractal Central as the brilliant sun pushed the temperature to a high of 81F 27C. The fractal cats took full advantage of the sun, which to their displeasure is now reaching too high an angle in the afternoon hours to cover the entire shelf. The fractal humans also took advantage of the warm weather but did not care too much for the techno-rap 'music' coming from a nearby party. The next FOTD will soon be posted. The most likely time will be this same hour tomorrow. Until whenever, take care, and I guess one must be younger than 30 to appreciate the so-called 'music' that young people are currently 'enjoying' today. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Queen_Anne's_Lace { ; time=0:30:00.00 SF5 at 2000MHZ reset=2004 type=mandel passes=1 center-mag=-0.568735652949339182235/0.457321058112\ 789029035/1.44e+016/1/-115/0 params=0/0 float=y maxiter=7200 bailout=9 inside=0 logmap=-1074 colors=0000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000001101102202203303304404405505506606607707\ 70880880990990AA0AA0BB0BB0CC0CC0DD0DD0EE0EE0FF0FF0\ GG0GG0HH0HH0II0II0JJ0JJ0KK0KKALLALLAMMAMMANNANNFOO\ FOOFPPFPPFQQFQQKRRKRRKSSKSSKTTKTTKUUPUUQVVQVVQVVRW\ WRWWSXXSXXTYYTYYUZZUZZV__V__W``W``YaaYaaZbb_bb`cc`\ ccbddbddceedeeeffeffgggggghhhhhhiiiiiijjjjjjkkkkkk\ llllllmmmmmmnnnnnnooooooppppppqqqqqqrrrrrrsssssstt\ ttttuuuuuuvvvvvvwwwwwwxxxxxxyyyyyyzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } END PARAMETER FILE=========================================

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FOTD 11-04-14 (Boltzmann Brains!! [A-7,M-7])
by Jim Muth 12 Apr '14

12 Apr '14

FOTD -- April 11, 2014 (Rating A-7,M-7) Fractal visionaries and enthusiasts: I have heard of Boltzmann brains but I never thought I would see one. Today's image, which lies on a twisted filament extending from a bud on the southeast shore line of the main bud of the Mandelbrot set has made me a true believer however, for lo and behold, there are eight of these pathetic accidental and lonely creatures gathered around the central minibrot in today's image. And I think I can see many more brains huddled farther in. Boltzmann brains (check them on the internet) are hypothetical entities that randomly fluctuate out of the quantum jitters of an infinite empty space at maximum entropy. They might or might not resemble human brains, but somehow they are conscious and imagine themselves to be located inside a physical body which is surrounded by an immense universe of relatively low entropy. The end result of this line of thought is the absurd assumption we are all merely imagining the outer world, and nothing but our own minds (and fractals, of course) are real. I doubt that anyone actually believes in Boltzmann brains, but ever since the discovery of dark energy, they are where the rational study of time and entropy has been leading us, and it is hard to see how we might get out of the conundrum, (if it actually is merely a conundrum and not, gasp, reality). Madam Zucchini, who talks to spirits every day at her fortune- telling shop down on the corner, makes better sense than many of today's so-called scientists. No wonder I have lost my youthful enthusiasm for science. The name "Boltzmann Brains!!" is self explanatory. The art and math ratings are both somewhat above average, though not high enough to justify the 13 minutes required to calculate the image. This is where the web sites charge to the rescue. Be the brainiest guy in town. Avoid the calculation delay by checking the finished image on the FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Heavy clouds moved in overnight here at Fractal Central, and the rain arrived just after lunch. The fractal cats enjoyed the temperature of 63F 17C as much as possible from indoors, but would have preferred the sun. The fractal humans were too busy with other things to concern themselves with a rainy afternoon. The next FOTD will probably not be posted before April 13, two days from now. Until then, take care, and hey!, it's not so bad being a Boltzmann brain. Jim (bring on the ghosts) Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Boltzmann_Brains!! { ; time=0:13:00.00 SF5 at 2000MHZ reset=2004 type=mandel passes=1 center-mag=-0.8335\ 331719560557432/-0.23097133205008341002/6.755e+014\ /1/40/0 params=0/0 float=y maxiter=3500 bailout=9 inside=0 logmap=597 colors=000RKJRKIQKHQKFPKEOKDPKBOKAPK9TKDUKGUKJUKMU\ KQUKTKKWKKZKK`KKbKKdKKfKKhKKjKKlKKmKKoKKqKKUKKUKKU\ KKUKKUKKUKKUKKUKKUKKUIKTIKSHKRDKN9KI5KE1KA8KCBKDBK\ ECKICKMDMPCOTAQX8S_7UZ6WY6YX5_X5aW4cV4eU3gU3fT2fS2\ eR1dR1dQ0fP0iPFlQTmQgjQlhQmgTmfVjfXfdZb`a_XcWUeTQg\ PNjLKlIGnEDpBArCEsCItCLtDPuDSuDWvDZvEbwEfxEixFmyFp\ yFtzFwzLruQmpVhl_cgdZbiUZnPUsKQoOOkSNhVMdZL`aJYeIU\ hHQlGNoFSnIXmL`lOelRikUnjXrjZqgXpdVpbTo_RnXPnVNmSL\ lPJlNHkKFkIDVSGEaIIcJMeJQgKUiKYjK`jQcjWfjahjfgkbgl\ _fmWfnTfnQeoMepJdqFdrCdq9do8dm7dk7di6dg6de5dc4d`4d\ W3cP3aH2ZB1W71Q30M00J46G7BEAHUAMZASXFXWGbVHgUImTJr\ SKpSLnSMlSOjSQhRSgRVeUYcU`acd_chZcowctwczwmzmmzrmz\ zmzzmcmmTcmHUo6Wn8WnAWnCWnEWmGWmIWmKWmMWlIUpUSpUQo\ UOocNrcPrcQrcRrcSrcTrcUrcVrcWwhXwhYwhZwhRwhcwhcwhc\ whcwrmwrmwrmwrmwrmwrmwrmwrmwzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } END PARAMETER FILE=========================================

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FOTD 10-04-14 (Coronal Discharge [A-8,M-6])
by Jim Muth 10 Apr '14

10 Apr '14

FOTD -- April 10, 2014 (Rating A-8,M-6) Fractal visionaries and enthusiasts: Today's image is a simple deep dive into the Mandelbrot set. The scene is located on a filament extending northeast from the large northern bud of the large minibrot on the main stem of the M-set. I named the image "Coronal Discharge" because of the bluish aura around the outer rim of the minibrot pattern. (This might not be the first FOTD with this name.) The extra effort I put into the coloring earns the rating of an 8. The extreme depth of the scene raises the math rating to a 6. The calculation time of 19-1/2 minutes is quite reasonable for a scene at a magnitude of over 10^(26), but the slowness is still a drag. Checking the image on the web sites is more fun and saves most of the time. The finished image is posted on the web sites at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Full sun and a temperature of 66F 19C brought spring to the Fractal Central doorstep today. The fractal cats spent the afternoon chasing the sun around the room, while the fractal humans chased the work. The next FOTD will be posted in the appropriate time. Until whenever this might be, take care, and the mass stabbing at the Pittsburgh school was outrageous. We must do something to put an end to this senseless violence. Let's pass legislation to keep kitchen knives from the hands of people with mental and emotional problems. . . . Or maybe we should first try to figure out what is wrong with our modern culture that is creating such violence in our schools. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Coronal_Discharge { ; time=0:19:30.00 SF5 at 2000MHZ reset=2004 type=mandel center-mag=-1.7551432400195\ 423935544486000208/0.01629740460602442248495329160\ 701/1.747468e+026/1/142.5/0 params=0/0 float=y maxiter=11000 bailout=9 inside=0 logmap=797 colors=000A0cA0cA1cA1cA2cA2cA3cA3cA3cA4cA4cA4cA4cA\ 5cA5cA6cA6cA6cA7c97c88c78c69c59c5Ac5Ac6Bc6Cc6Dc6Ec\ 6Fc7Gb7Ha7I`7J_7KZ6LY7M_7N`8Ob8Pc8Rd9Uf9Xg9_hAbjAd\ kAglBjnBmo9prBouCnwDmzFmzGlzHkzJjzKjzLizNhzOgzPgzR\ fzSezTdzXczUdzSezQfzSgzUgzWhzYiz_jzajzchvegrgemjdh\ mecpfZqgUrhPriKsjHskEtlEtmEuoEtqDusEvuFwwFxzGyvGzm\ HzcHyUIyKIxCIx0I00T9AUFKWLRYQT_WV`aXbfZdl`fs`fqagp\ bgochndhmehkfijgiihjhijgjjekkdlkcmlbnlaolWebQWUKMK\ ECBAAACzmHthNpcSmZOhULeOHaHEWACK6AC3000l_Rzzztvznr\ vinrckoYgoTcoN_oIXoIcbIjRIqFMEeN7gTA_YCScFKhHDs8Hz\ zlvulrqlmmlhilcczTcDocAtZ8cXAOVC8TEMMQZFak8mx2xm7k\ cC_UHOKMCFG7AA2DGBFLJHQRKWZM`fOenZdcqQGqMNqITqE_tC\ gqBenAdkAchUbhUahU`iU_jUZkUYkUXmUWmUWmUVmUVmUUmcUm\ cTmcTmcSmcSmcRmcRmcQmcQmcQmcPzmPzmOzmOzmNzmNzmMzmM\ zmLzmLzmNzmszmszmszmszmszmszzszzozzlzzizzfzzczz`zz\ YzzUzzRzzOzzLzzIzzFzzCzz9 } END PARAMETER FILE=========================================

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FOTD 09-04-14 (Ghostly Attractor [A-7,M-4])
by Jim Muth 10 Apr '14

10 Apr '14

FOTD -- April 09, 2014 (Rating A-7,M-4) Fractal visionaries and enthusiasts: Today we return to a type of fractal I was working with quite a few years ago. The image is a scene in a perturbed Z^2+C Mandelbrot set. It is located at the edge of the inside of a minor bud on the southwest shore line of the main bay. The half obscured blue and white buds in the background are actually part of the classic M-set itself. The reddish spiral arms in the foreground are the trails of points that have escaped before being trapped in the remnants of the buds. What we have here is a demonstration that the points in a perturbed M-set, if they do not escape first, will ultimately fall into the same orbits as points that originate at 0,0. The points in today's image for example originate at 0.7,0.2. I named the image "Ghostly Attractor" because of the ghost buds and also because despite my skeptical nature, I find ghosts quite interesting and not at all unlikely to be 'real'. The art rates a 7, since the image is not all that great. The math rates a 4. After all, how unique can the math of the Mandelbrot set be at this point of the fractal era. The calculation time of just under 2 minutes is slow for a scene in the Mandelbrot set. The culprit is the maxiter of 250000, which slows things down in the lower part of the image, but this maxiter was necessary to get full definition in the ghost buds. The web sites can greatly cut the length of the wait to see the image however. Escape the life of endless waiting. Check the finished image on the FOTD web sites at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Today here at Fractal Central, which is the almost-real central headquarters of the FOTD, spring gave signs that it was finally ready to arrive. The brilliant sun, gentle winds, puffy white clouds and temperature of 61F 16C was just what any doctor would have ordered. The fractal cats soaked up all the sun they could find, and chased each other up and down the hallway when the sun was at the wrong angle, while the fractal humans made the most of the pleasant conditions. The next FOTD will be posted before too long. Until that moment of truth arrives, take care, and try to avoid the cognitive instability that arises when we assume something that undermines the argument that justified our assumption in the first place. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Ghostly_Attractor { ; time=0:01:50.00 SF5 at 2000MHZ reset=2004 type=mandel passes=1 center-mag=-0.5769\ 768387/-0.4519133225/5218/1/146.7/0 params=0.7/-0.2 float=y maxiter=250000 inside=0 logmap=200 colors=000yi0xh0xh0xh0xh0uf0re0oc0lb1i`3h_6eY8bWB_\ VDWUGVSHSRKPRMMPPJOSHMUEKWBJY8H`4Gb3Ee0Df0Bi09k08m\ 08o0Bp6DrEGsMHuUJv`MxhOyoRzvSzzUzzVzzVzzVyzVxzVvyV\ uyWsyWrxWpxWpxWovWmvYlWYkWWiWUhWRfWReWKeWKcWDbWD`W\ D_WDYWEWWEVWEUWEUWESWERWGPWGOWGMWGKWIJWKHYHHYHG`FE\ `CD`FB_C9_98_66Y94YE4WH3WE1WI0V80VA0V80UI0U80UI0S6\ 0SH0S60RH0R60RH1P43PF4P66PF8O89OFBO8BMEDM9EMJFKBFK\ JGKBGKHHJ9JJHKJ9MHHNH9PHFPG8QGFRG8TGFVE6WEGYE7ZDG`\ D9aDJcDBdBLfBBfBMg9Fh9Nj9Ik8Om8Jn8Np8Jq6Js6Ht6Hu4H\ u6Hu6Ju4Ku6Mu6Ou6Pv6Rv6Sv6Uv6Vw6Ww6_w8bx6ex6hx6ky6\ my6py6ry6sz6uz6vz6xz6yz4yz4yz4yz4yz4yz4yz8yzByzEyz\ HyzKyzOyzRyzUyzWyz_yzbzzezzhzzkzzkzzkzzkzzkzzkzzkz\ zkzzkzzkzzkzzkzzkzzkzzkzzkzzkzzyzzyzzyzzyzzyzzyzzy\ zzyzzyzzyzzyzzyzzyzzyzzyzzyzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } END PARAMETER FILE=========================================

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Fractint's Parameter Explorer/Evolver showing 81 perturbed M-sets
by Hal Lane 10 Apr '14

10 Apr '14

My April 9th, 2014 entry has an image, CRITDEMO.jpg, where I used Fractint's Parameter Explorer / Evolver to show a grid of M-sets perturbed away from the critical value of (0,0). Jim's FOTD is a zoom into a perturbed M-set. Jim's perturbed M-set and an interesting sequence of zooms into it are shown in the center column of April 9th's entries. The CRITDEMO.jpg image is on the row with F140409.gif at the far left. The real-perturbing value varies left to right in the image; the imaginary-perturbing value varies up and down. When I look closely at that image, I think that the center fractal did not have the non-perturbing critical value of (0,0). Thanks again for keeping my counters up to date by clicking April, 2014 on my main page: http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html - Hal Lane ######################## # hallane(a)earthlink.net ######################## --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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FOTD 07-04-14 (The Past Returns [A-6,M-5])
by Jim Muth 08 Apr '14

08 Apr '14

FOTD -- April 08, 2014 (Rating A-6,M-5) Fractal visionaries and enthusiasts: Today's image is a scene in the Z^(3.05)+C Mandeloid as it appears at ground level of the hyperladder with no function applied. The prominent minibrot at the center is a near exact copy of the parent fractal, which has the same orientation. Today's image is located in the blunt northern branch of the valley leading to the eastern bud. I named the image "The Past Returns" because it is the kind of stuff I did long ago when I was just discovering fractals. (Strangely enough, I am still just discovering them even today!) The art rating of a 6 and math rating of a 5 shows that the image is a rather routine one, though the fireball calculation time of 30 seconds will take a lot of sting out of the task. And as always, the web sites are ready to take all the sting from the calculation. The image may be viewed on the FOTD web sites without the job of calculating it. The web sites are at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Dark clouds and blustery winds spoiled the day here at Fractal Central. A little sun did manage to break through in the afternoon, but it was too little and too late. The temperature of 55F 13C would have been fine had it not been for the clouds and wind. The fractal cats had a relatively quiet day, except for a friendly tussle they got into around lunch time. The fractal humans had a normal day of wondering what has gone wrong with the world in the 21st Century. The next FOTD will be posted in roughly 24 hours. But this is not etched in stone, so do not be too disappointed if it does not appear. Until whenever, take care, and the latest breaking news on the missing airliner is that there is nothing new to report. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= The_Past_Returns { ; time=0:00:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident center-mag=+0.8100388496415922/-0.0180164699522101\ /8.299791e+012/1/77.5/0 params=3.05/0/0/0 float=y maxiter=1600 inside=0 logmap=67 periodicity=6 mathtolerance=0.05/1 colors=000qEqrFpsGltHhuIdtJ`sKXrGTqBOp6Dp2Am67jABg\ EGdILaMQZUUWZZT`cQchNfmKjrInvIozHmzGkzFhrEemDbcJUk\ IUmHP`GKbFAdECfDFhCHjCJmBLpAOu9Qz8Sz7Uz7WvDYrJZmP_\ hV`Z`aSfbMlcGrdAmFIcDDbL9ST4S`0T_1UZ2VY3WX3XW4YV5Z\ U5_T6`S7aR8bQ8cP9dOAeOAfU5gW1hY6i_BjaFkcKlePmgThhY\ iiajjfkkkllommtnmxnmtmmplmlkmhjmdjm`imXhmTgmPwmLwm\ HwmIwmJwmJwmKwmKwmLwmLwmMwmMwmNwmNwmNwmNwmNwzNwzNw\ zNwzNmzNwmNwmNwmNwmNwmNwpNwsNwvNmsMwpMwmMmrzmzzmzz\ mzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzzzKzzLzzMzz\ OzzPzzQzzSzzTzzUzzVzzTzzSzzQzzPzzNzzMzzTzzTzzTzzTz\ zTzzPzzMzzJzzGzzCzz9zz6zz3zz7zzBzzEzzIzzMzzPzzTzzX\ zz_zzczzKzzKzzKzzKzzLzzKzzKzzKzzKzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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Paul N. Lee
by Barry Smith 08 Apr '14

08 Apr '14

This is off topic, but I don't know what else to do. After my 'thank you' post there were many responses, including one from Paul N. Lee. I sent him a personal e-mail (off the list), which he received, and he sent me a reply. When I sent a response that I had prepared off-line, it bounced, with a message saying that I was blacklisted. Any ideas? *Barry W Smith* 7 Gidabal Street, Aranda ACT 2614, Australia Tel +61 2 6251 2119 e-mail barrys(a)grapevine.net.au

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FOTD 07-04-14 (An Inner Ringworld [A-8,M-6])
by Jim Muth 07 Apr '14

07 Apr '14

FOTD -- April 07, 2014 (Rating A-8,M-6) Fractal visionaries and enthusiasts: The expression behind today's image mixes one negative part of Z^(-1.01) with an equal negative amount of Z^(1.01) before adding (1/C) on each iteration. This strange mixture creates a parent fractal resembling a Mandelbrot set with its main bud cut off and the other buds pushed far around toward East Valley. Today's scene lies rather deep in this East Valley. The name "An Inner Ringworld" was based on the tendency of the parent's radicals to extend outward and curve around toward an attracting point at +0.5 on the X-axis. The art rating of an 8 makes the 4-1/4 minute calculation time marginally worth the result. The math rating of a 6 indicates that we have been to this part of the fractal universe several times before. Viewing the finished image on the web sites can increase the bargain aspect, though it will do nothing for the math. Today's fractal wonder may be viewed without effort in finished form on the FOTD web sites at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Heavy clouds and rain prevailed all day here at Fractal Central today, with the temperature hanging around a very chilly and un-springlike 41F +5C. The fractal cats checked the conditions with disgust, turned away and decided to take their naps. The fractal humans, who are still waiting for the first sign of green leaves on the trees, were too busy to waste time being disgusted. The next FOTD fractal image will be posted, most likely around this same time tomorrow. Until whenever, take care, and the things being theorized and actually discovered by present day physicists are on the verge of cognitive instability. Maybe it's time to rethink the entire scientific paradigm. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= An_Inner_Ringworld { ; time=0:04:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+0.3579297947913825/+0.0001708364055951\ /4.2202e+010/1/88/0 params=-1/-1.01/-1/1.01/0/0/0/0 float=y maxiter=2250 inside=0 logmap=306 periodicity=6 mathtolerance=0.05/1 colors=000K0OK0OK0OK0NK0NK0NK6MKBLKGKKLKKKJBOUMUcf\ dmZizhnmismixmgvmftmdrmcpmbnm`lk_jiZhgXfeWdcVbaT`_\ SZYRXUPVPNTKLRCJQ9IO9GK8EL7CG6BH68D45C22900706B5CF\ AIEFOMLTPPYSTbUXgValXeqSiwVmsXnpZonYokYpiYqfWqdVra\ UsZSsXRtUQuSOuPNvNMvMOuLQuKRuKTuJVuIWuHYuH_uG`uFbu\ EduEeuHesKerNeqQepSeoVenYem`elbekeejheikehmegnfeng\ cogaoh`oiZpiXpjVpjUqkSqlQrlOrmNrnLsnJsoKsoKqqUprUp\ scptcqvmqxmszsszswzzzzzKUUThPObFUcJZcNddRidVndYohP\ plGpp76DwLB0UE7YGEeJLcLS4UEfWEnZSuaeg`nU_w4uIInNWh\ RibWwX_iVbXUeJTh6SjIerUszfi`r`CShY2psHjgWeWj_KxV9Z\ eQApe7bV5QLRQP2DAU3UK2KA1ADwWi__NIIzzehu`ZfRUTIKE9\ 40bA0KzTrfJ_U9IdUfKLLCaO9SI6JC3963oX1QGVnRf5oTOOLI\ IECC766leA_V7OL5CA2_sZReQISH9E8ZUuQUfHUT8UEcUFPUNC\ UBWUoGcQEct9ca4cJ6c44c33c21c1UmJUmEUm9Um4UmUUmFUmF\ UmBcz7cz3czoczYczzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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